Find dy/dx if y = 5x⁸. A) 40x⁸ B) 5x⁷ C) 40x⁷ D) 40x E) x⁷

Question

Quizplus · Accepted Answer

Taking the derivative of the given expression, we use the power rule and the chain rule: dy/dx = 5(⁸)(d/dx)(x) = 5(⁸) Since the derivative of x is 1, we can simplify this to: dy/dx = 5x(⁸) Using the product rule and the power rule for differentiation, we have: dy/dx = 5x(1)(U1)(P17)(1)(S1)(S1)(P0) + 5(1)(⁸)(1) Simplifying this gives: dy/dx = 5x⁷ + 5⁸ Which is equivalent to answer choice C.

Find Dy/dx If Y = 5x8

Find Dy/dx If Y = 5x⁸